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Finding the Fourth Proportional to 421,813.37, 632,786.04 and 137,437.92

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Solution

The fourth proportional to 421,813.37, 632,786.04 and 137,437.92 is: 206,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,813.37 : 632,786.04 = 137,437.92 : x
  2. Step 2: Convert to fraction form
    421,813.37/632,786.04 = 137,437.92/x
  3. Step 3: Cross multiply
    421,813.37x = 632,786.04 × 137,437.92
  4. Step 4: Simplify right side
    421,813.37x = 86,968,797,142.64
  5. Step 5: Solve for x
    x = 86,968,797,142.64/421,813.37
  6. Step 6: Final answer
    x = 206,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.